I Question 2 v The average number of cavities that thirty-year-old Americans have had in their lifetimes is 9. Do twenty- year-olds have fewer cavities? The data show the results of a survey of 16 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 5, 10,9,7, 11, 5, 9,9, 5, 1o, 8, 7,8,6, 9, 9 What can be concluded at the a: = 0.10 level of significance? a. For this study, we should use | Select an answer v b. The null and alternative hypotheses would be: Ho: IC] H1: IC] c. The test statistic = C] (please show your answer to 3 decimal places.) d. The p-value = C] (Please show your answer to 4 decimal places.) e. The p-value is ? v o: f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that O The data suggest the populaton mean is significantly less than 9 at a: = 0.10, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is less than 9. O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 9 at a = 0.10, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is less than 9. O The data suggest the population mean is not significantly less than 9 at o: = 0.10, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is equal to 9. h. Interpret the p;value in the context of the study. 0 If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 16 twenty-year-olds, then there would be a 2.10943807% chance that the sample mean for these 16 twenty-year-olds would be less than 7.94. 0 There is a 2.10943807% chance that the population mean number of cavities for twenty-year- olds is less than 9. 0 If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 16 twenty-year-olds, then there would be a 11094380796 chance that the population mean number of cavities for twenty-year-olds would be less than 9. 0 There is a 2.10943807% chance of a Type I error. i. Interpret the level of significance in the context of the study. 0 There is a 10% chance that the population mean number of cavities for twenty-year-olds is less than 9. 0 If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 16 twenty-year-olds, then there would be a 10% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is less than 9. 0 If the population mean number of cavities for twenty-year-olds is less than 9 and if you survey another 16 twenty-year-olds, then there would be a 10% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is equal to 9. Q There is a 10% chance that flossing will take care of the problem, so this study is not necessary